Geodesic
Minimal Contact Circuits for Symmetric Threshold Functions
Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 397-411

Voir la notice de l'article provenant de la source Math-Net.Ru

For the monotone symmetric threshold Boolean functions $$ f^n_2(\widetilde x\mspace{2mu})=\bigvee_{1\le i\le n}x_ix_j,\qquad n=2,3,\dots, $$ it is established that a minimal contact circuit implementing $f^n_2(\widetilde x\mspace{2mu})$ contains $3n-4$ contacts.
Keywords: Boolean function
Mots-clés : contact circuit, minimal circuit. 
@article{MZM_2020_108_3_a5,
     author = {N. P. Red'kin},
     title = {Minimal {Contact} {Circuits} for {Symmetric} {Threshold} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {397--411},
     publisher = {mathdoc},
     volume = {108},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a5/}
}
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N. P. Red'kin. Minimal Contact Circuits for Symmetric Threshold Functions. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 397-411. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a5/